• Title/Summary/Keyword: 수학 수업 개선

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Personalized Storytelling Mathematics Learning System (개인화 스토리텔링 수학 학습 시스템)

  • Lee, Jeonghwan;Han, Keejun;Gweon, Gahgene
    • Proceedings of the Korea Information Processing Society Conference
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    • 2014.04a
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    • pp.981-984
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    • 2014
  • 개인화된 서술형 수학 문제(mathematics word problem)는 오랫동안 연구된 분야로 학생들의 학업 성취도와 수학에 대한 태도에 관심을 가져왔다. 본 연구에서는 2013년 도입된 스토리텔링 수학에 개인화된 콘텐츠를 접목하여 그 효과를 알아보고자 하였다. 초등학생 26명을 대상으로 하여 약 110분 동안 수업을 진행하였으며, 무게에 대한 새로운 개념을 배우는 데 그 목적을 두었다. 각각 13명씩 개인화 그룹과 비 개인화 그룹으로 나누어 수업을 진행하였다. 학업 성취도(Learning Achievement)에서는 사전 시험(pre-test) 점수가 너무 높아 두 그룹 간에 서로간의 유의한 차이점을 발견하지 못했다. 수학에 대한 태도 부분과 몰입도(Flow) 부분에서는 다소 개인화 그룹의 값이 높았지만, 통계적으로 유의한 정도는 차이는 아니었다. 하지만 정성적 분석에서는 차이가 있었다. 개인화 그룹(Personalized group)은 비 개인화 그룹(non-personalized group)에 비해 개인화(personalization)가 수업의 재미있는 요소로서 보다 중요한 작용을 했다고 느꼈다. 또한, 테스트나 측정(measure) 부분에서 생겼던 문제점을 개선하여 재 실험이 있을 시엔 유의미한 값을 나타낼 것으로 기대된다.

Analysis of Korean Mathematics Class Organization and Teacher's Approach and Activities: Focused on the Lessons from Learner's Perspective Study (한국 수학 수업의 조직 및 교수 활동 분석: LPS(Learner's Perspective Study) 수업 자료를 중심으로)

  • Park, Kyung-Mee
    • Journal of Educational Research in Mathematics
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    • v.17 no.2
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    • pp.127-145
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    • 2007
  • There have been several international lesson studies such as TIMSS Video Study and Learner's Perspective Study. According to the TIMSS Video Study report, within differences found in the lessons in each country is much less than the between differences found in the lessons across countries. This means that each country has its own way of teaching, so called 'national script'. On the contrary, LPS researchers are skeptical about the existence of 'national script' since significant differences are identified within the lessons conducted by the same teacher. The purpose of this study is to analyze the LPS Korean data in terms of class organization and teacher's approach and activities. The categories of class organization are classwork, small group seatwork, and individual seatwork, and the those of teacher's approach and activities are exploratory, directive, summarization, exercises and practice, and assigning homework. Ten lessons were videotaped from two Korean schools respectively, thus altogether twenty lessons were recorded and analyzed. Each lesson shows unique class approach and teacher's approach and activities, however the average of each category in class organization and teacher's approach and activities for the two schools are very similar. This result supports the TIMSS Video Study in the regard that there is a commonality among the lessons within the country, but also confirms the LPS result that it is difficult to assume 'national script'. This study is a preliminary investigation into the LPS Korean data, and the further in-depth interpretation of LPS lessons will be followed.

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The Effect of Essay Writing-Centered Mathematics Teaching on Problem Solving and Mathematical Disposition (서술형 수학 쓰기 수업이 초등학생의 문제해결 및 수학적 성향에 미치는 효과)

  • Kim, Hyosun;Oh, Youngyoul
    • Communications of Mathematical Education
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    • v.28 no.1
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    • pp.131-154
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    • 2014
  • The purpose of this study was to examine the effect of essay writing-centered mathematics instruction on problem solving and mathematical deposition in the elementary school. For the present study, two 6th grade classes with equivalent achievement in terms of problem solving and mathematical disposition based on the pretest. A total of 15 mathematics lessons focused on writing activities were administered to the experiment group for two months, while the textbook-based traditional lessons were given to the comparison group. Both quantitative and qualitative methods were adopted to analyze the data. The results of the present study showed that essay writing-centered mathematics teaching is statistically superior that the textbook-based mathematics teaching with respect to students' problem solving and mathematical disposition. In addition, it was evidenced that essay writing-centered mathematics instruction makes an influence on students' perceptions toward essay-based assessment in a positive way.

The Analysis of the 6th Grade Students' Mathematical Thinking on the Application of Lakatos' Methodology (Lakatos 방법론을 통한 초등학교 6학년 학생들의 수학적 사고)

  • Jung, Mi Hye;Lee, Kwangho;Sim, Jaebang
    • Education of Primary School Mathematics
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    • v.16 no.1
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    • pp.21-33
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    • 2013
  • In this study, We analyzed the mathematical thinking of sixth grade students showed mathematics lessons through the application of Lakatos' methodology and search for the role of their teachers in this lessons. We supposed to find the solution to the way of teaching-learning regarding the Lakatos' methodology for the elementary school level. According to the stages of presenting a problem situation, suggesting an initial conjecture, examining the conjecture, and improving the conjecture, we had lessons 8 times that are applied to Lakato's methodology. We gathered and analyzed data from lessons and interviews recording videotapes, documents for this study. The participants showed a lot of mathematical thinking. They understood the problem situation with the skill of fundamental thinking and suggested the initial conjecture by the skill of developmental thinking and they found a counter-example to be able to rebut the initial conjecture by critical thinking. Correcting the conjecture not to have counter-example, they drew developmental thinking and made their thinking generalize.

A Study on the Teaching Method for Activities Justify of Paper Folding by Given Size Colored Paper (최대 넓이의 정다각형 종이접기 정당화 활동을 위한 영재학급에서의 교수·학습 방법 개선에 관한 연구)

  • Lee, Seung Hwan;Song, Sang Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.4
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    • pp.695-715
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    • 2016
  • This study is on the teaching method for the students who belong to the same school (one, the gifted class, passed gifted education of Science High school ), 1-1, face-to-face learning (two, good students in regular classroom) with a teacher, paired learning teams (4 people, gifted classes), and group lessons (20 people, gifted classes) and using the justification analysis framework tool(PIRSO) of Kim(2010) analyzes the justification element of the students in the group classes regular polygons paper was to explore ways to improve the justification of the folding maps activities. As a result, the width of the largest polygon difficulty level appropriate to the class for gifted elementary school classes but the individual learning style of the 1-1 face-to-face with a teacher or discussion with colleagues and cooperative approach is justified, rather than the material of the study of origami activities it turned out to be more effective in improving the level of justification. Unlike the individual learning activities, the exploration for class is the need to strain in parallel to the student is selected as needed, rather than serial manner was confirmed that it is necessary to clearly present problems even from the beginning. Development of teaching through the implications obtained from this method of reconstruction activities and proposed improvement measures for questioning.

An Analysis of a Preservice Teacher's Questioning: The Effect of Practicum Program Based on Collaborative Inquiry Community (협력적 탐구와 반성적 실천 맥락에서 예비교사 발문 사례 분석)

  • Ju, Mi-Kyung
    • School Mathematics
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    • v.10 no.4
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    • pp.515-535
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    • 2008
  • As part of developmental research of a student-teaching practicum program, this research analyzed a mathematics preservice teacher's questioning. The practicum program is based on the model of reflective practice in a collaborative inquiry community for learning-to-teach. This paper describes how a preservice teacher's questioning pattern had changed on the program participation and explain how the change in discourse can be considered as an indicator for the pre service teacher's professional development. Suggestions for the future program development are discussed.

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An Analysis of the Actual Status about the Connection of Teaching and Learning Mathematics between Elementary School and Junior High School (초.중학교 수학 교수학습 연계 실태 분석)

  • Ko, Junghwa;Kim, Tae-Eun;Roh, Won-Kyoung
    • School Mathematics
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    • v.17 no.1
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    • pp.135-156
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    • 2015
  • There is a difference in quality between transition from elementary school to junior high school and the simple change of grades. This time is also a critical time that many students would be to abandon the mathematics. According to experience in conjunction with mathematics, this timing can be either bright or dark outlook with relation to mathematical development. Thus, at this turning point, it is necessary to analyze what changes the students are experiencing in teaching and learning mathematics, what such changes effect the students, whether or not there is room for improving such changes etc. Therefore, in this study, by comparing and analyzing math lessons of 6th grade in elementary school and 1st grade in junior high school, we investigate the difficulties of teaching and learning mathematics experienced by students who have been placed in the turning point and suggest implications to help them to land softly into junior high school.

The Effects of STEAM-based Mathematics Class in the Mathematical Problem-solving Ability and Self-efficacy (STEAM 기반 수학 수업이 문제해결력과 자기효능감에 미치는 영향)

  • Lee, GaEun;Choi, JaeHo
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.4
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    • pp.663-686
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    • 2017
  • The purpose of this study was to identify the effects of convergent approach of mathematics education on students' problem-solving ability and self-efficacy by designing and applying mathematics curriculum based on STEAM. The results are as follows. First, the test results between the two groups did not show any statistically significant difference in terms of problem solving ability, but the experimental group showed a higher average score than the comparative group. Compared with the standard deviation of the experimental group, It can be seen that the level of difference between students is great. This suggests that STEAM-based mathematics lessons have a positive effect on the problem solving ability of low-level students. Second, the results of the self-efficacy t-test of STEAM-based mathematics class showed statistically significant results at a 5% significance level. In the sub-domain, the preference for the difficulty of the mathematics task, except math self-confidence and the math self-regulation efficacy, were statistically significant at a 5% significance level. This study shows that STEAM-based mathematics classes have a positive effect on the students' positive aspects. Through the STEAM program, students learn that mathematics is connected with other fields, and it provides an opportunity to explore on their own, and they more became interested, motivated, and achievement. Also, through the results of the STEAM-based mathematics class, it can be seen that the expressive power and self-confidence are increased by using the non-formal representation outside of the existing formal representation center. The result of this study can be summarized as follows: A STEAM-based mathematics class has a positive effect on problem solving ability and self-efficacy. Therefore, it is interpreted that the application of the STEAM program focusing on mathematics accounts for education effectives.

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A Study on Teaching of Ratio Graph based on Realistic Mathematics Education (현실주의 수학교육론에 근거한 비율그래프 지도에 관한 연구)

  • Yoon, Jae-Hoon;Ryu, Sung-Rim
    • Education of Primary School Mathematics
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    • v.11 no.1
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    • pp.39-57
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    • 2008
  • The purpose of this study is to affirm what influences the lessons applied by reorganizing the ratio-graph unit of level 6-A on the basis on Realistic Mathematics Education(RME) give on mathematical scholastic achievements and mathematical preferences.In order to achieve the purpose of this study, the experimental study was exerted by making two classes of 6 grades in J elementary school located in Gumi city, Gyeongbuk province as subjects. In this study, test of degree of the mathematics learning ability of student, multiple-choice test and descriptive test of the learning dispositions of student were exerted and the results were t-test officially. The results and the conclusions of this study were as follows: First, the results acquired by officially t-test the levels of the mathematics learning ability of student of the group taught by lessons according to the teaching materials reorganized on the basis of RME and the group taught by lessons according to the 7th curriculum show a meaningful difference(p=.007). This means that the lessons according to the teaching materials reorganized on the basis of RME showed meaningful influences on the improvement of degree of the mathematics learning ability of student. Second, the results acquired by officially t-test the learning dispositions of student multiple-choice test of the group taught by lessons according to the teaching materials reorganized on the basis of RME and the group taught by lessons according to the 7th curriculum show a meaningful difference. Especially in the factors of 'mathematical will'(p=.017) and 'mathematical value'(p=.029) were meaningful differences. Also in the descriptive test of the learning dispositions of student, the experimental class showed that it had the potential possibility to have more positive attitudes meaningfully in comparison with the compared class. This means that the lessons according to the teaching materials reorganized on the basis of RME showed meaningful influences on the learning dispositions of student.

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인터넷 상의 중학교 수학과 관련 학습자료 분석 및 활용 방안 연구

  • Lee, Gyeong-Seon;Jeong, Wan-Su
    • Communications of Mathematical Education
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    • v.15
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    • pp.181-187
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    • 2003
  • 새로이 열리고 있는 정보화시대에 부응하기 위해 교육계에서는 컴퓨터를 교육매체를 활용한 교수 ${\cdot}$ 학습방법에 대한 연구를 활발히 전개해 나가고 있다. 최근에는 인터넷을 활용하여 좀더 효과적인 교수 ${\cdot}$ 학습 방법의 개선에 대해 연구하는 움직임들이 활발히 진행되고 있다. 이에 중학교 수학과를 중심으로 하여 인터넷 상의 학습자료들을 검색하고 이를 먼저 홈페이지별로 분류하여 그에 따른 내용들을 분석하고, 반대로 항목별로 홈페이지를 중학교 교과서 내적인 내용과 외적인 내용들로 분류하고 그에 대한 분석을 하여 봄으로써 현재 인터넷 상의 학습자료들을 알아보아 향후 인터넷을 활용하여 중학교 수학의 교수 ${\cdot}$ 학습 방법을 개선하는 연구 및 인터넷 상에 새로운 자료를 올리는 사람들에게 도움이 되도록 하고자 한다. 또한 간단하나마 인터넷을 활용하는 수업에 대해서도 기술하여 인터넷 상의 학습자료를 활용하는 방안을 모색하여 보고자 한다.

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